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Finding the Fourth Proportional to 4,512.71, 6,772.01 and 1,591.04

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Solution

The fourth proportional to 4,512.71, 6,772.01 and 1,591.04 is: 2,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.71 : 6,772.01 = 1,591.04 : x
  2. Step 2: Convert to fraction form
    4,512.71/6,772.01 = 1,591.04/x
  3. Step 3: Cross multiply
    4,512.71x = 6,772.01 × 1,591.04
  4. Step 4: Simplify right side
    4,512.71x = 10,774,547.77
  5. Step 5: Solve for x
    x = 10,774,547.77/4,512.71
  6. Step 6: Final answer
    x = 2,387.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.